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WAEC Further Mathematics 2007 Question 32

Question 32

Probability

X and Y are two independent events. If P(X) = ⅕, and P(X ∩ Y) = 2/15, find P(Y).

  1. A.2/3
  2. B.2/5
  3. C.1/3
  4. D.2/5
Show the answer and explanation

Answer: A (2/3)

Explanation

For independent events P(X ∩ Y) = P(X) × P(Y), so P(Y) = (2/15) ÷ (1/5) = 2/3.